The Chip Swap Game - Ethel Breuche
Algebra, difficulty level 4. The object of this game is to swap the positions of the different colored chips. Count the number of moves and, as you increase the number of chips, find the general formula.
...more>>

A Day at the Arcade - Judy Ann Brown
Middle School, difficulty level 2. The 25-cent token dispensing machine only accepts quarters and half dollars one at a time. How many different combinations of coins, using quarters (q) and half dollars (h), are there to purchase the desired number of
...more>>

The Fourth of July Parade - Ethel Breuche
Discrete Math, difficulty level 3. After the parade, the people on the float I was on shook hands with each other. The Mayor came over and shook hands with only the people he knew. How many people did he know if there were 1625 handshakes altogether?
...more>>

Intersecting Circles - Annie Fetter
Geometry, difficulty level 3. What is the maximum number of times six circles of the same size can intersect? In other words, draw six circles of the same size on a piece of paper - what is the maximum number of intersections your drawing can have?
...more>>

The Math Club Holiday Party - Judy Ann Brown
Middle School, difficulty level 2. The Math Club is having a holiday party. If the presents are opened in 5 minute intervals starting at 1:00 p.m. the last gift will be opened starting at 5:35 p.m. How many club members are there?
...more>>

Playing with Blocks - Annie Fetter
Geometry, difficulty level 4. A large cube is made up of 13 double cubes like the smaller one shown, plus a single cube. What color is the single cube, and where does it have to be?
...more>>

A Product-Plus-1 - Terry Trotter
Algebra, difficulty level 3. The product of any four consecutive integers, increased by one, is always a square number. Give at least three instances of that statement and prove that this will always occur by finding an algebraic expression for that
...more>>

Subway Subtotals - Kristina Lasher
Math Fundamentals, difficulty level 2. When people ride the subway, they can pay with money, tokens, or transit cards. How did the people in my subway car pay their fare this morning?
...more>>

Super Bowl XXXII - Judy Ann Brown
Middle School, difficulty level 2. The Super Bowl committee has decided to create a plaque to hang in the NFL Hall of Fame. Your job is to determine how many of each letter or symbol must be made in gold.
...more>>